Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T11:53:50.399598Z
Paper Citation Record · LEDGER
Rook sums in the symmetric group algebra
As of 10 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.22386.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
30 of 30 outbound references displayed
- verified exact8
- verified fuzzy7
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch7
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f4b4b8ed-1736-4a93-bb21-25d05c97e931 · outbound
This paper cites Rains, Algebraic aspects of increasing subsequences, Duke Math.
Rook sums in the symmetric group algebra Rains, Algebraic aspects of increasing subsequences, Duke Math
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-06T11:53:50.510085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b56a142f-6d3c-4ac0-8a9b-878857ad7eeb · outbound
This paper cites Remmel, Rook Theory Notes, 2011.
Rook sums in the symmetric group algebra Remmel, Rook Theory Notes, 2011
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.977893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ed27835b-9a3e-42f6-a547-2799a67cdbaa · outbound
This paper cites An integral second fundamental theorem of invariant theory for partition algebras.
Rook sums in the symmetric group algebra An integral second fundamental theorem of invariant theory for partition algebras
Reference 3
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.865872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3aafb420-8dff-4dad-b9ef-51b812c757dc · outbound
This paper cites Canonical bases and new applications of increasing and decreasing subsequences to invariant theory.
Rook sums in the symmetric group algebra Canonical bases and new applications of increasing and decreasing subsequences to invariant theory
Reference 4
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.848235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ecbf2487-2d7c-4ae1-ace2-0822d940ef80 · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T11:53:50.965435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b557cec1-90de-4cdc-a2be-03b686580cde · outbound
This paper cites Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators.
Rook sums in the symmetric group algebra Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:53:50.304789Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5111625-ce51-41a0-8c06-8b38d1b265e6 · outbound
This paper cites Rodney Canfield, S.
Rook sums in the symmetric group algebra Rodney Canfield, S
Reference 7
- Resolution
- verified exact
- doi, observed 2026-08-06T11:53:50.496785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e7f16cef-4368-448a-ab75-e3e22d3ebd82 · outbound
This paper cites De Concini, C.
Rook sums in the symmetric group algebra De Concini, C
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:53:50.313326Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22e97c10-8749-4ef0-b192-234f9b4149b9 · outbound
This paper cites Greene's Theorem and ideals of the group algebra of a symmetric group.
Rook sums in the symmetric group algebra Greene's Theorem and ideals of the group algebra of a symmetric group
Reference 9
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.817215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d4f3e702-bd79-4804-a55c-191f302afa11 · outbound
This paper cites Annihilators of permutation modules.
Rook sums in the symmetric group algebra Annihilators of permutation modules
Reference 10
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.798337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 989c4b4a-d000-4c65-9d72-40357e8bbe26 · outbound
This paper cites https://math.mit.edu/ etingof/repb.pdf.
Rook sums in the symmetric group algebra https://math.mit.edu/ etingof/repb.pdf
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.953237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c9cee998-b17f-4f32-93e4-6fd313c80a2b · outbound
This paper cites Intersecting Families of Permutations.
Rook sums in the symmetric group algebra Intersecting Families of Permutations
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:53:50.329472Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aec53ecd-ac1c-4e8c-921d-690b219b29a9 · outbound
This paper cites Patterns in Random Permutations.
Rook sums in the symmetric group algebra Patterns in Random Permutations
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T11:53:50.767689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 292d1313-b0af-41dd-a9be-4cd014cd727b · outbound
This paper cites Flath, T.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.941520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e9b62de4-4100-446d-b2a6-cdeabc3859be · outbound
This paper cites Goldman, J.
Rook sums in the symmetric group algebra Goldman, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.928962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation cfca6462-9813-4b8b-834c-2a1bce1e7a56 · outbound
This paper cites ://www.cip.ifi.lmu.de/ grinberg/t/19fco/n/n.pdf.
Rook sums in the symmetric group algebra ://www.cip.ifi.lmu.de/ grinberg/t/19fco/n/n.pdf
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.916141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 46b9c0d4-494d-4f93-ba4e-98f5c56395b5 · outbound
This paper cites An introduction to the symmetric group algebra.
Rook sums in the symmetric group algebra An introduction to the symmetric group algebra
Reference 17
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.751188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8965cff1-b8b5-4e73-a381-c8a89a8edc5d · outbound
This paper cites Partial permutations and character evaluations.
Rook sums in the symmetric group algebra Partial permutations and character evaluations
Reference 18
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.730794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6ef417c7-1a11-40eb-8adf-c7ce70948666 · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:53:50.356088Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da4eed67-a537-4d9c-9b58-952b8884d976 · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 20
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T11:53:50.712376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 6f28a6c1-e7db-41f8-89f9-35d4ec721167 · outbound
This paper cites Loehr, Jeffrey B.
Rook sums in the symmetric group algebra Loehr, Jeffrey B
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-06T11:53:50.465497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b759629d-35dd-486b-9539-e53eb2abf932 · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-06T11:53:50.452299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 24d739ee-42dc-48d4-8d84-422a17e86bd0 · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 23
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T11:53:50.632025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ad519ae2-0eb4-49e2-bbb4-f65151b798d7 · outbound
This paper cites A note on the Weingarten function.
Rook sums in the symmetric group algebra A note on the Weingarten function
Reference 24
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T11:53:50.547047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d62c9f46-b5ab-49bd-b8e4-3f45ee0cb4d7 · outbound
This paper cites RSK bases and Kazhdan-Lusztig cells.
Rook sums in the symmetric group algebra RSK bases and Kazhdan-Lusztig cells
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T11:53:50.528520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 080f8ccd-92b6-4dfb-b8de-ae823b493a7c · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T11:53:50.903329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 884ff73c-f42f-4b20-abfd-2c685933d775 · outbound
This paper cites Schensted, Longest increasing and decreasing subsequences, Canadian Journal of Mathematics 13 (1961), pp.
Rook sums in the symmetric group algebra Schensted, Longest increasing and decreasing subsequences, Canadian Journal of Mathematics 13 (1961), pp
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:53:50.388222Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e28c180-553c-4183-8664-cd0afac932ab · outbound
This paper cites an unresolved cited work.
Rook sums in the symmetric group algebra Unresolved cited work
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T11:53:50.392114Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 950ae364-e00e-4deb-ad62-91faed3baa3a · outbound
This paper cites Stanley, Enumerative Combinatorics, volume 2, Second edition, Cambridge University Press 2023.
Rook sums in the symmetric group algebra Stanley, Enumerative Combinatorics, volume 2, Second edition, Cambridge University Press 2023
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.890578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 363d6d11-c20d-423a-aa93-463b571d2f77 · outbound
This paper cites Stanley, Theory and Application of Plane Partitions.
Rook sums in the symmetric group algebra Stanley, Theory and Application of Plane Partitions
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T11:53:50.878356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
No inbound Pith citation observations are available.